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2023 LMT Spring
4
2023 LMT Spring Accuracy Problem 4
2023 LMT Spring Accuracy Problem 4
Source:
September 29, 2023
geometry
Problem Statement
Rectangle
A
B
C
D
ABCD
A
BC
D
has side lengths
A
B
=
3
AB = 3
A
B
=
3
and
B
C
=
7
BC = 7
BC
=
7
. Let
E
E
E
be a point on
B
C
BC
BC
, and let
F
F
F
be the intersection of
D
E
DE
D
E
and
A
C
AC
A
C
. Given that
[
C
D
F
]
=
4
[CDF] = 4
[
C
D
F
]
=
4
, find
D
F
F
E
\frac{DF}{FE}
FE
D
F
ā
.
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